A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 15.55% from the rest? That is, if P(z>c)=0.1555, find c. C= ________ Celciusarrow_forwardA normal population has mean =μ22 and standard deviation =σ16 . Find the values that separate the middle 60% of the population from the top and bottom 20% . The values that separate the middle 60% of the population above from the top and bottom 20% are and . Enter the answers in ascending order and round to one decimal place.arrow_forwardSuppose X has a normal distribution with a mean of 1000 and a standard deviation of 200. Find the value “a” such that Pr ( 650 < X < a) = 0.1.arrow_forward
- Suppose that the heart beat per minute (bpm) of adult males has a normal distribution with a mean of μ = 72.9 bpm and a standard deviation of o=11.4 bpm. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤0.01 and a value is significantly low if P(x or less) ≤0.01. Find the pulse rates for males that separate significant pulse rates from those that are not significant. Using these criteria, is a male pulse rate of 90 beats per minute significantly high? RICHIED Find the heart rate (in bpm) separating significant values from those that are not significant. A heart rate with a bpm more than and less than are not significant, and values outside that range are considered significant.arrow_forwardAssume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is 0.9918. (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? ○ A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. ○ B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. ○ C. Since the mean pulse rate…arrow_forwardAssume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.1904, find b.arrow_forward
- Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.501°C and -1.165°C.P(−2.501<Z<−1.165)arrow_forwardAssume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of σ = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. The probability is 0.6844. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is (Round to four decimal places as needed.)arrow_forwardAssume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)arrow_forward
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:PEARSON